Question

The speed of the boat in still water is 24 kmph and
the speed of the stream is 4 kmph. The time taken
by the boat to travel from A to B downstream is 36
minutes less than the time taken by the same boat
to travel from B to C upstream. If the distance
between A to B is 4 km more than the distance
between B and C. What is the distance between A
and B?​

Answer 1

Answer:

Here's the answer is : 56 km

Step-by-step explanation:

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Answer 2

Rate downstream = 24 + 4 = 28 km/h

Rate upstream = 24 - 4 = 20 km/h

Distance between A and B = x km.

∴BC  = (x−4) km

According to the question,

$\frac{x-4}{20}-\frac{x}{28}=3600$

$\implies\frac{7x-28-5x}{140}=\frac{3}{5}$

$\implies\frac{2x-28}{140}=\frac{3}{5}$

$\implies2x-28=84$

$\implies2x=112$

$\implies x=56$

$\boxed{\bold{\therefore Distance\:between\:A\:and\:b=56\:km}}$